A Simple Proof of Silver's Theorem

Pimpen Vejjajiva, Athipat Thamrongthanyalak

Abstract

By using combinatorial properties of stationary sets, we give asimple proof of some generalization of Silver's Theorem i.e. if$\kappa$ is an uncountable regular cardinal such that$\aleph_\kappa$ is a singular strong limit cardinal, then thefollowing hold.

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